1. Graphing f(x) = ax^37
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The x-intercept is the x-coordinate of the point where y=0.
Yes, see solution.
0=ax^2 Remember that a cannot be zero, otherwise we would have a constant zero function instead of a quadratic one. Therefore, the above equation is only satisfied when x=0. Another way to interpret this result is that the graph of any function of the form y=ax^2 passes through the origin.